Finite Group Databasebeta

← Group #14437988

Character table — Group #14437988

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222224444444444444488888888882020202040402222444444444488888888888888161616161616161616164040404080803333666666666612121212121212121212121212122424242424242424242460606060120120
order1222445510101010101044202020202020202020202020442020202020202020888844366612121515303030303030121260606060606060606060606012126060606060606060242424241212222244101010101010101044202020202020202020202020442020202020202020888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11-111111111111111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11-111111111111111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11-1
χ611111111111111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1111111111111111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1111111111111111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-11
χ711111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-11
χ811111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111-111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111-111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111-1
χ9222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000
χ10222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000
χ11222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52000000
χ12222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000
χ13222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000
χ14222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−52000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−52000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−52000000
χ15222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000
χ16222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52000000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52000000
χ172222-2-2222222222-2-2-2-2-222-2-222-2-200000000000000002222-2-2222222222-2-2-2-2-222-2-222-2-200000000000000002222-2-2222222222-2-2-2-2-222-2-222-2-20000000000000000
χ182222-2-222222222-22-2-2-2-2-2-222-2-22200000000000000002222-2-222222222-22-2-2-2-2-2-222-2-22200000000000000002222-2-222222222-22-2-2-2-2-2-222-2-2220000000000000000
χ192222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+5200ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+5200ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+5200ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000000
χ202222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+5200−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+5200−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+5200−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000000
χ212222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−5200ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−5200ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−5200ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000000
χ222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−5200−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−5200−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000002222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−5200−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000000
χ232222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−5200−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−5200−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−5200−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000000
χ242222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−5200ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−5200ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−5200ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000000
χ252222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+5200−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+5200−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+5200−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000000
χ262222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+5200ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+5200ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000002222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+5200ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000000
χ272-2-222-22222-2-2-2-2002-22-2000000000000000000002i−2i002-2-222-22222-2-2-2-2002-22-2000000000000000000002i−2i002-2-222-22222-2-2-2-2002-22-2000000000000000000002i−2i00
χ282-2-222-22222-2-2-2-2002-22-200000000000000000000−2i2i002-2-222-22222-2-2-2-2002-22-200000000000000000000−2i2i002-2-222-22222-2-2-2-2002-22-200000000000000000000−2i2i00
χ292-2-22-222222-2-2-2-200-22-220000000000000000002i−2i00002-2-22-222222-2-2-2-200-22-220000000000000000002i−2i00002-2-22-222222-2-2-2-200-22-220000000000000000002i−2i0000
χ302-2-22-222222-2-2-2-200-22-22000000000000000000−2i2i00002-2-22-222222-2-2-2-200-22-22000000000000000000−2i2i00002-2-22-222222-2-2-2-200-22-22000000000000000000−2i2i0000
χ3144-4-40044-4-44-44-400000000000000000000000000000044-4-40044-4-44-44-400000000000000000000000000000044-4-40044-4-44-44-4000000000000000000000000000000
χ3244-4-400−1+5−1−51−51+5−1+51−5−1−51+500000000−2ζ11+2ζ192ζ11−2ζ19002ζ3−2ζ7−2ζ3+2ζ7000000000000000044-4-400−1+5−1−51−51+5−1+51−5−1−51+500000000−2ζ11+2ζ192ζ11−2ζ19002ζ3−2ζ7−2ζ3+2ζ7000000000000000044-4-400−1+5−1−51−51+5−1+51−5−1−51+500000000−2ζ11+2ζ192ζ11−2ζ19002ζ3−2ζ7−2ζ3+2ζ70000000000000000
χ3344-4-400−1+5−1−51−51+5−1+51−5−1−51+5000000002ζ11−2ζ19−2ζ11+2ζ1900−2ζ3+2ζ72ζ3−2ζ7000000000000000044-4-400−1+5−1−51−51+5−1+51−5−1−51+5000000002ζ11−2ζ19−2ζ11+2ζ1900−2ζ3+2ζ72ζ3−2ζ7000000000000000044-4-400−1+5−1−51−51+5−1+51−5−1−51+5000000002ζ11−2ζ19−2ζ11+2ζ1900−2ζ3+2ζ72ζ3−2ζ70000000000000000
χ3444-4-400−1−5−1+51+51−5−1−51+5−1+51−5000000002ζ3−2ζ7−2ζ3+2ζ7002ζ11−2ζ19−2ζ11+2ζ19000000000000000044-4-400−1−5−1+51+51−5−1−51+5−1+51−5000000002ζ3−2ζ7−2ζ3+2ζ7002ζ11−2ζ19−2ζ11+2ζ19000000000000000044-4-400−1−5−1+51+51−5−1−51+5−1+51−5000000002ζ3−2ζ7−2ζ3+2ζ7002ζ11−2ζ19−2ζ11+2ζ190000000000000000
χ3544-4-400−1−5−1+51+51−5−1−51+5−1+51−500000000−2ζ3+2ζ72ζ3−2ζ700−2ζ11+2ζ192ζ11−2ζ19000000000000000044-4-400−1−5−1+51+51−5−1−51+5−1+51−500000000−2ζ3+2ζ72ζ3−2ζ700−2ζ11+2ζ192ζ11−2ζ19000000000000000044-4-400−1−5−1+51+51−5−1−51+5−1+51−500000000−2ζ3+2ζ72ζ3−2ζ700−2ζ11+2ζ192ζ11−2ζ190000000000000000
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χ1278-88-800−2−25−2+252+252−252+25−2−252−25−2+250000004ζ3−4ζ7−4ζ3+4ζ7004ζ11−4ζ19−4ζ11+4ζ19000000000000000000-44-44001+51−5−1−5−1+5−1−51+5−1+51−5000000−2ζ3+2ζ72ζ3−2ζ700−2ζ11+2ζ192ζ11−2ζ1900000000000000000000000000000000000000000000000000000000000000
χ1288-88-800−2−25−2+252+252−252+25−2−252−25−2+25000000−4ζ3+4ζ74ζ3−4ζ700−4ζ11+4ζ194ζ11−4ζ19000000000000000000-44-44001+51−5−1−5−1+5−1−51+5−1+51−50000002ζ3−2ζ7−2ζ3+2ζ7002ζ11−2ζ19−2ζ11+2ζ1900000000000000000000000000000000000000000000000000000000000000
χ1298-8-888-8−2+25−2−25−2+25−2−252−252−252+252+2500−2+252−25−2−252+25000000000000000000000000-444-4-441−51+51−51+5−1+5−1+5−1−5−1−5001−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000000000000000
χ1308-8-888-8−2−25−2+25−2−25−2+252+252+252−252−2500−2−252+25−2+252−25000000000000000000000000-444-4-441+51−51+51−5−1−5−1−5−1+5−1+5001+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-88-88−2+25−2−25−2+25−2−252−252−252+252+25002−25−2+252+25−2−25000000000000000000000000-444-44-41−51+51−51+5−1+5−1+5−1−5−1−500−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88-88−2−25−2+25−2−25−2+252+252+252−252−25002+25−2−252−25−2+25000000000000000000000000-444-44-41+51−51+51−5−1−5−1−5−1+5−1+500−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.